Time-varying additive perturbations of well-posed linear systems

DOI10.1007/s00498-014-0136-8zbMath1327.93271OpenAlexW2023695928MaRDI QIDQ498960

Yong-Cai Geng, Sumit K. Garg

Publication date: 29 September 2015

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-014-0136-8

zbMATH Keywords

Maxwell's equationsevolution familywell-posed linear systemscattering passive systemLax-Phillips semigroupmoving conductor

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25)

Related Items (9)

Iterative observer-based state and parameter estimation for linear systems ⋮ Output error minimizing back and forth nudging method for initial state recovery ⋮ A class of incrementally scattering-passive nonlinear systems ⋮ Convergence of discrete-time Kalman filter estimate to continuous-time estimate for systems with unbounded observation ⋮ Optimal approximation of discrete-time multirate systems on Hilbert spaces ⋮ Non-coercive Lyapunov functions for infinite-dimensional systems ⋮ Well-posedness of infinite-dimensional non-autonomous passive boundary control systems ⋮ Well-posedness and stability of non-autonomous semilinear input-output systems ⋮ Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition

Cites Work

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• Operator splitting for non-autonomous evolution equations
• Two classes of passive time-varying well-posed linear systems
• Linear non-autonomous Cauchy problems and evolution semigroups
• Semigroups of linear operators and applications to partial differential equations
• Infinite dimensional linear systems theory
• On a theorem for linear evolution equations of hyperbolic type
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Fredholm properties of evolution semigroups
• Evolution semigroups for nonautonomous Cauchy problems
• Transfer functions of regular linear systems. III: Inversions and duality
• Infinite dimensional time-varying systems with nonlinear output feedback
• Periodic output regulation for distributed parameter systems
• Stationary scattering theory for time-dependent Hamiltonians
• Linear evolution equations of hyperbolic type. II
• Maxwell's Equations as a Scattering Passive Linear System
• An Evolution Equation Approach to Nonautonomous Linear Systems with State, Input, and Output Delays
• When is a linear system conservative?
• One-Parameter Semigroups for Linear Evolution Equations
• Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
• Robust Stability of Linear Evolution Operators on Banach Spaces
• Transfer functions of regular linear systems Part II: The system operator and the Lax–Phillips semigroup
• Sufficient conditions for exponential stability and dichotomy of evolution equations
• Feedbacks for Nonautonomous Regular Linear Systems
• A Physically Motivated Class of Scattering Passive Linear Systems
• A Student's Guide to Maxwell's Equations

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